What is integration? And what is its importance?
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Note: When you see an ad that violates your moral or religious principles, please send the link to it to this email ([email protected]) so that we can block it, thank you.. Main channel link: / scientificflashlight You can support us, thank you, on Patreon ????????: / scientificflashlight Explanation of differential and integral calculus, one of the most important branches of mathematics, if not, in the opinion of many mathematicians, the most important currently!! As we explained, it is divided into two main sections: integral calculus integration and differential calculus Differentiation. In this episode, we explained what the concept of integration is and what its mechanism is (how does integration calculate the area of irregular shapes) and what does its coding even mean? We explained in a simplified way the basic theorem of differential and integral calculus and proved it, and we implicitly touched on its importance during the episode, but in the next episode we will delve into that more, God willing, we will explain the importance of calculus as a whole in general. _________________ At the beginning of the episode, we explained the concept of area in general and the difference between it and volume, and that there are several types of geometric shapes, including regular and irregular, and geometry needs a mechanism to rely on to calculate the areas of irregular shapes, which is integration itself, as integration is what answers the question of what is the area enclosed under a curve or a line of a specific function, and after that we explained that integration depends on regular shapes, specifically the rectangle, as it is the most suitable geometric shape for this task, as it simply makes the width of each rectangle dx, i.e. it tends to be infinitesimal, and thus assumes an infinite number of rectangles in a specific area of the function, and the length of the rectangles is f (x), and thus we have calculated an area enclosed within a specific range for a specific function in an ideal way, but the most important thing is to know how to do this mathematically and with each function even, and we then moved on to how to calculate definite integrals, and thus explain the fundamental theorem of calculus, as definite integral equals the difference between the limits of integration The indefinite integral of the integral function, and we explained the meaning of the indefinite integral, which is the opposite of the derivative or the antiderivative, and its importance through calculating the definite integral in the first place, and then we explained several examples regarding how to deal with the rule in general and several simple points as well, all of this and more you will find explained in depth in this video, thanks for watching ^_^. #Scientific_lamp_for_serving_students_of_science_calculus
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